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31 December, 19:56

Which pair shows equivalent expressions? 2 x + 10 = negative 2 (x minus 5) Negative 2 (x + 5) = 2 x minus 10 Negative 2 x minus 10 = negative 2 (x + 5) Negative 2 (x minus 5) = negative 2 x minus 10

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Answers (2)
  1. 31 December, 20:01
    0
    C. - 2x - 10 = - 2 (x + 5)

    Step-by-step explanation:

    Clearer choices:

    2x + 10 = - 2 (x - 5)

    -2 (x + 5) = 2x - 10

    -2x - 10 = - 2 (x + 5)

    -2 (x - 5) = - 2x - 10

    All choices have either:

    -2 (x - 5) for A and D

    or - 2 (x + 5) for B and C

    Simplify these expressions by expanding with the distributive property. Multiply the outside term "-2" with each term inside the brackets.

    -2 (x - 5)

    = (-2*x) - (-2*5) Multiply each term by the coefficient

    = - 2x - (-10) Simplify the double negative to a positive

    = - 2x + 10 Expanded expression

    This is not the same answer in A and D. They are not correct.

    -2 (x + 5)

    = (-2*x) + (-2*5) Multiply each term by the coefficient

    = - 2x + (-10) Adding a negative is the same as subtraction

    = - 2x - 10 Expanded expression

    This is the same answer for option C.

    Therefore "C" is the answer.
  2. 31 December, 20:15
    0
    C

    Step-by-step explanation:

    I just took the test
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